Inhaltspezifische Aktionen

Vortrag: "The spectrum of the Laplacian on the 5-sphere"

Britta Weber (JLU Gießen)


13.06.2019 von 16:00 bis 17:00 (Europe/Berlin / UTC200)


Hörsaal des Mathem. Instituts, Arndtstr. 2, 1. Stock, Raum 111

Termin zum Kalender hinzufügen



We determine the spectrum of the Laplacian on the 5-sphere using representation theory of Lie groups. For this we realize the sphere as a compact homogeneous space and determine the irreducible representations which enter into its Peter-Weyl decomposition using branching laws for unitary groups. Via Weyl's unitary trick this ultimately amounts to study branching for GL_3(\)-representations over GL_2(\C).